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8378890240 = 21157216699
BaseRepresentation
bin1111100110110101…
…11011100000000000
3210121221100201121011
413303122323200000
5114124443441430
63503232410304
7414431251300
oct76332734000
923557321534
108378890240
11360a735286
12175a0a6994
13a36ba3126
14596b35600
153408de22a
hex1f36bb800

8378890240 has 144 divisors (see below), whose sum is σ = 23388183000. Its totient is φ = 2872590336.

The previous prime is 8378890231. The next prime is 8378890291. The reversal of 8378890240 is 420988738.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493411 + ... + 510109.

Almost surely, 28378890240 is an apocalyptic number.

8378890240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8378890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694091500).

8378890240 is an abundant number, since it is smaller than the sum of its proper divisors (15009292760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8378890240 is a wasteful number, since it uses less digits than its factorization.

8378890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16740 (or 16713 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 8378890240 is about 91536.2782726062. The cubic root of 8378890240 is about 2031.0884373085.

The spelling of 8378890240 in words is "eight billion, three hundred seventy-eight million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2048 2240 2560 3136 3584 3920 4480 5120 6272 7168 7840 8960 10240 12544 14336 15680 16699 17920 25088 31360 33398 35840 50176 62720 66796 71680 83495 100352 116893 125440 133592 166990 233786 250880 267184 333980 467572 501760 534368 584465 667960 818251 935144 1068736 1168930 1335920 1636502 1870288 2137472 2337860 2671840 3273004 3740576 4091255 4274944 4675720 5343680 6546008 7481152 8182510 8549888 9351440 10687360 13092016 14962304 16365020 17099776 18702880 21374720 26184032 29924608 32730040 34199552 37405760 42749440 52368064 59849216 65460080 74811520 85498880 104736128 119698432 130920160 149623040 170997760 209472256 239396864 261840320 299246080 418944512 523680640 598492160 837889024 1047361280 1196984320 1675778048 2094722560 4189445120 8378890240